Search Results - "Hantoute, A."

New Tour on the Subdifferential of Supremum via Finite Sums and Suprema by Hantoute, A., López-Cerdá, M. A.

“…This paper provides new characterizations for the subdifferential of the pointwise supremum of an arbitrary family of convex functions. The main feature of our…”
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Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings by Correa, R., Hantoute, A., López, M. A.

“…In this paper we establish general formulas for the subdifferential of the pointwise supremum of convex functions, which cover and unify both the compact…”
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Alternative Representations of the Normal Cone to the Domain of Supremum Functions and Subdifferential Calculus by Correa, R., Hantoute, A., López, M. A.

“…The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of convex…”
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Subdifferential of the Supremum via Compactification of the Index Set by Correa, R., Hantoute, A., López, M. A.

“…We give new characterizations for the subdifferential of the supremum of an arbitrary family of convex functions, dropping out the standard assumptions of…”
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Characterizations of convex approximate subdifferential calculus in Banach spaces by Correa, R., Hantoute, A., Jourani, A.

“…We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the…”
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Calmness modulus of fully perturbed linear programs by Cánovas, M. J., Hantoute, A., Parra, J., Toledo, F. J.

“…This paper provides operative point-based formulas (only involving the nominal data, and not data in a neighborhood) for computing or estimating the calmness…”
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Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions by Adly, S., Hantoute, A., Théra, M.

“…The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to…”
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Hiriart-Urruty–Phelps-Like Formula for the Subdifferential of Integral Sums by Hantoute, A., Jourani, A.

“…We provide subdifferential calculus rules for continuous sums parametrized in measurable spaces that use the approximate subdifferentials of the data…”
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Characterization of Lipschitz Continuous Difference of Convex Functions by Hantoute, A., Martínez-Legaz, J. E.

“…We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our…”
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Calmness of the Argmin Mapping in Linear Semi-Infinite Optimization by Cánovas, M. J., Hantoute, A., Parra, J., Toledo, F. J.

“…This paper characterizes the calmness property of the argmin mapping in the framework of linear semi-infinite optimization problems under canonical…”
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Subdifferential set of the supremum of lower semi-continuous convex functions and the conical hull intersection property by Hantoute, A.

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Stability of Indices in the KKT Conditions and Metric Regularity in Convex Semi-Infinite Optimization by Cánovas, M. J., Hantoute, A., López, M. A., Parra, J.

“…This paper deals with a parametric family of convex semi-infinite optimization problems for which linear perturbations of the objective function and continuous…”
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A note on the compactness of the index set in convex optimization. Application to metric regularity by Cánovas, M.J., Hantoute, A., López, M.A., Parra, J.

“…We extend some recent developments on metric regularity in convex semi-infinite optimization from the case of a compact metric index set (for the constraint…”
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Weaker conditions for subdifferential calculus of convex functions by Correa, R., Hantoute, A., López, M.A.

“…In this paper we establish new rules for the calculus of the subdifferential mapping of the sum of two convex functions. Our results are established under…”
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Boundary of subdifferentials and calmness moduli in linear semi-infinite optimization by Cánovas, M. J., Hantoute, A., Parra, J., Toledo, F. J.

“…This paper was originally motivated by the problem of providing a point-based formula (only involving the nominal data, and not data in a neighborhood) for…”
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Characterization of total ill-posedness in linear semi-infinite optimization: Semi-infinite Programming (SIP) by HANTOUTE, A, LOPEZ, M. A

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A non-convex relaxed version of minimax theorems by Ghitri, M. I. A, Hantoute, A

“…Given a subset $A\times B$ of a locally convex space $X\times Y$ (with $A$ compact) and a function $f:A\times B\rightarrow\overline{\mathbb{R}}$ such that…”
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Characterization of total ill-posedness in linear semi-infinite optimization by Hantoute, A., López, M.A.

“…This paper deals with the stability of linear semi-infinite programming (LSIP, for short) problems. We characterize those LSIP problems from which we can…”
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Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus by Correa, R, Hantoute, A, López, M. A

“…The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of convex…”
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Valadier-like formulas for the supremum function II: The compactly indexed case by Correa, R, Hantoute, A, López, M. A

“…We generalize and improve the original characterization given by Valadier [20, Theorem 1] of the subdifferential of the pointwise supremum of convex functions,…”
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